D. 5
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
QR = Β½(OP + MN)
Substitute
27 = Β½((5x - 7) + (6x + 6))
27 = Β½(5x - 7 + 6x + 6)
Add like terms
27 = Β½(11x - 1)
Multiply both sides by 2
2*27 = 11x - 1
54 = 11x - 1
54 + 1 = 11x
55 = 11x
55/11 = x
5 = x
x = 5
option 3 . (5x + 1) - (-10x + 6)
step-by-step explanation:
option 1 :
(4x + 3) + (-9x + 4)
or 4x+3 -9x + 4
or -5x + 7
option 2
(x - 2) - (6x - 9)
or x-2-6x + 9
option 3
(5x+ + 6)
or 5x + 1 + 10x -6
or 15x -5
option 4
-4x+2x+7-3x
-7x + 2x + 7
-5x + 7
hence only option 3 did not satisfy the given simplify expression.
i dont get the question